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1. From the formula, k (x)=2sin(x+pi)/(sin(x+pi)-3), what is k ^-1(x)?

k (x) = 2 sin (x+π) / (sin (x+π) - 3) = 2 (- sin x) / (- sin x - 3) = 2 sin x / (sin x + 3) = [2 (sin x + 3) - 6] / (sin x + 3) = 2 - 6 / (sin x + 3) So for k ^-1(x) we get x = 2 - 6 / (sin k ^-1(x) + 3) => 6 / (sin k ^-1(x) + 3) = 2 - x =>...

1 Answers · Science & Mathematics · 16/12/2013

2. Solving Polynomial Equations k ( k -5)>0?

k ( k - 5) > 0 in two cases: 1) k > 0 and ( k - 5) > 0 2) k < 0 and ( k - 5) < 0 In case 1, k > 0 and k > 5; both of these are true when k > 5. In case 2, k ...

1 Answers · Science & Mathematics · 11/04/2010

3. Closed form for 1/( k x ( k +1) x ( k +2))?

Decomposing 1/[ k ( k +1)( k +2)], you have: A/ k + B/( k +1) + C/( k +2) = 1/[ k ( k +1.... Therefore: A( k +1)( k +2) + B( k )( k +2) + C( k )( k +1) = 1 which must hold true for all valid values of k . To determine...

2 Answers · Science & Mathematics · 08/09/2007

4. What is the sum from k =5 to infinity of (( k -1)!* k ^3)/ (( k -5)!*4!*(2^ k ))?

Note that Σ( k = 5 to ∞) C( k -1, k -5) k ^3/2^ k ...to ∞) (k-1)(k-2)(k-3)(k-4) * k^3 x^ k {at x = 1/2} = (1/24) x^5 * Σ( k ...%29+C%28k-1%2C+ k -5%29+ k ^3%2F2^ k I hope...

1 Answers · Science & Mathematics · 29/07/2014

5. Help functions k (x) = x^2(x^2+160?

k (x) = x^2(x^2+16) k (4 - √2) = (4 - √2)^2 [(4 - √2)^2 + 16] Remember that (4.... (4 - √2)(4 - √2) = 16 - 8√2 + 2 = 18 - 8√2 So then: k (4 - √2) = (4 - √2)^2 [(4 - √2)^2 + 16] k (4 - √2) = (18 - 8√2)(18...

3 Answers · Science & Mathematics · 16/01/2009

6. Determine the value of k that will give the indicated solution.?

k is not c kx^2 - 2x + 1 = 0 k = a b^2 - 4ac = (-2)^2 - (4)( k )(1) = 4 - 4k 4-4k > 0...3 k ^2 - 2k - 3 > 0 Set k ^2 - 2k - 3 = 0 ( k - 3)( k + 1) = 0 ==> k = 3 or k = -1 for k ^2 - 2k - 3...

1 Answers · Science & Mathematics · 15/04/2010

7. The quadratic function Q is defined by Q(x) = kx2 − ( k − 3) x + ( k − 8), Determine the values of k for which Q (x) = 0 has no real roots?

( k - 3)² < 4k ( k - 8) k² - 6k + 9 < 4k² - 32k 3k² - 26 k - 9...

4 Answers · Science & Mathematics · 05/10/2017

8. How do I solve this for k ?

...you have written is evaluated like this: .030 = .22*(e^(- k ))*(.005) I think you intended the exponent to be ((- k )*.005) so you should...

1 Answers · Science & Mathematics · 28/09/2013

9. What is the composition of (potassium) orthoclase feldspar? a. k .a " K -Spar"?

K (periodic table symbol for potassium). the general formula ( K ,AL)Si3O8 where the relative amounts of K and Al can vary to produce different types of feldspar. K -...

2 Answers · Science & Mathematics · 14/12/2010

10. How do I factor 3x² 16x k ?

You can't. You have to know what k is. That said, if you have other conditions which...like: (3x + m)(x + n) where m and n are integers, and: mn = k m + 3n = 16 ==> m = 16 - 3n k = n(16 - 3n) = 16n - 3n² So, pick...

2 Answers · Science & Mathematics · 01/08/2008